MinT - Information on Result #1225502

Information on Result #1225502

Digital (48, 77, 262)-net over F₃₂, using (u,Â u+v)-construction based on

digital (13, 27, 146)-net over F₃₂, using
- net defined by OOA [i] based on linear OOA(32²⁷, 146, F₃₂, 14, 14) (dual of [(146, 14), 2017, 15]-NRT-code), using
  - OA 7-folding and stacking [i] based on linear OA(32²⁷, 1022, F₃₂, 14) (dual of [1022, 995, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(32²⁷, 1023, F₃₂, 14) (dual of [1023, 996, 15]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 1023Â = 32²âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]
digital (21, 50, 131)-net over F₃₂, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 14, 33)-net over F₃₂, using
    - net from sequence [i] based on digital (0, 32)-sequence over F₃₂, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 0 and N(F) ≥ 33, using
        the rational function field F₃₂(x) [i]
      - Niederreiter sequence [i]
  2. digital (7, 36, 98)-net over F₃₂, using
    - net from sequence [i] based on digital (7, 97)-sequence over F₃₂, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 7 and N(F) ≥ 98, using
        a function field by SÃ©mirat [i]

Mode: Constructive and linear.

None.

None.